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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Weak-type endpoint bounds for Riesz means
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by Terence Tao
Proc. Amer. Math. Soc. 124 (1996), 2797-2805
DOI: https://doi.org/10.1090/S0002-9939-96-03371-0

Abstract:

We use $L^2$ restriction theory to prove optimal weak-type bounds of Bochner-Riesz multipliers and Riesz means of elliptic pseudo-differential operators on compact manifolds, for $p \leq 2(n+1)/(n+3)$.
References
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Bibliographic Information
  • Terence Tao
  • Affiliation: Department of Mathematics, Princeton University, Princeton, New Jersey 08544
  • MR Author ID: 361755
  • ORCID: 0000-0002-0140-7641
  • Email: tao@math.princeton.edu
  • Received by editor(s): March 14, 1995
  • Communicated by: Christopher D. Sogge
  • © Copyright 1996 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 124 (1996), 2797-2805
  • MSC (1991): Primary 42B15
  • DOI: https://doi.org/10.1090/S0002-9939-96-03371-0
  • MathSciNet review: 1327048